Generic principles of active transport

Details Generic principles of active transport Generic principles of active transport

2006-12-20

arxiv.org/abs/cond-mat/0612516v1

Banach Center Publications Vol. 80, 101-120 (2008)

Physics

Condensed Matter

Statistical Mechanics

21 pages, 10 figures. Pedagogical paper based on a lecture delivered at the conference on "Stochastic models in biological sci

Scientific paper

10.4064/bc80-0-6

Nonequilibrium collective motion is ubiquitous in nature and often results in a rich collection of intringuing phenomena, such as the formation of shocks or patterns, subdiffusive kinetics, traffic jams, and nonequilibrium phase transitions. These stochastic many-body features characterize transport processes in biology, soft condensed matter and, possibly, also in nanoscience. Inspired by these applications, a wide class of lattice-gas models has recently been considered. Building on the celebrated {\it totally asymmetric simple exclusion process} (TASEP) and a generalization accounting for the exchanges with a reservoir, we discuss the qualitative and quantitative nonequilibrium properties of these model systems. We specifically analyze the case of a dimeric lattice gas, the transport in the presence of pointwise disorder and along coupled tracks.

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